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Mathematics of Biology pp 139–155Cite as

Association Rates of Diffusion-Controlled Reactions in Two Dimensions

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Abstract

A detailed analysis of the main results concerning mathematical models of diffusion-controlled reactions in two dimensions is presented. Specific emphasis is placed on methods for evaluating association rates. After a review of planar models, the effects due to the curvature of the ambient space are investigated. Finally, different possible choices of boundary conditions are considered, and suggestions are given on their aptness to model different physicochemical situations.

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Author information

Authors and Affiliations

  1. Istituto di Analisi dei Sistemi ed Informatica del CNR, V. le Manzoni 30, 00185, Rome, Italy

    Alberto Gandolfi

  2. Dipartimento di Matematica, Università di Roma, ‘La Sapienza’, 00185, Rome, Italy

    Anna Gerardi & Federico Marchetti

Authors
  1. Alberto Gandolfi
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  2. Anna Gerardi
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  3. Federico Marchetti
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Editor information

Editors and Affiliations

  1. University of Rome, Italy

    Giorgio Koch

  2. Centre for Mathematics and Computer Science, Amsterdam, The Netherlands

    Michiel Hazewinkel

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© 1985 Springer Science+Business Media Dordrecht

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Gandolfi, A., Gerardi, A., Marchetti, F. (1985). Association Rates of Diffusion-Controlled Reactions in Two Dimensions. In: Koch, G., Hazewinkel, M. (eds) Mathematics of Biology. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5426-7_2

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  • DOI: https://doi.org/10.1007/978-94-009-5426-7_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8895-4

  • Online ISBN: 978-94-009-5426-7

  • eBook Packages: Springer Book Archive

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